3440100331122 has 64 divisors (see below), whose sum is σ = 8836110581760. Its totient is φ = 867832282944.

The previous prime is 3440100331117. The next prime is 3440100331159. The reversal of 3440100331122 is 2211330010443.

It is a happy number.

It is a super-4 number, since 4×3440100331122⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3440100331092 and 3440100331101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136955922 + ... + 136981037.

It is an arithmetic number, because the mean of its divisors is an integer number (138064227840).

Almost surely, 2^{3440100331122} is an apocalyptic number.

3440100331122 is an abundant number, since it is smaller than the sum of its proper divisors (5396010250638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3440100331122 is a wasteful number, since it uses less digits than its factorization.

3440100331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273937007.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3440100331122 its reverse (2211330010443), we get a palindrome (5651430341565).

The spelling of 3440100331122 in words is "three trillion, four hundred forty billion, one hundred million, three hundred thirty-one thousand, one hundred twenty-two".